1. Problem: You want to solve the fractions by "utvide brølene på 3" which means to multiply numerator and denominator by 3. 2. Formula: To extend a fraction by 3, use the rule: $$\frac{a}{b} = \frac{a \times 3}{b \times 3}$$ This keeps the value of the fraction the same but changes its form. 3. Apply to each fraction: - a. $$\frac{7}{2} = \frac{7 \times 3}{2 \times 3} = \frac{21}{6}$$ - b. $$\frac{21}{37} = \frac{21 \times 3}{37 \times 3} = \frac{63}{111}$$ - c. $$\frac{3}{109} = \frac{3 \times 3}{109 \times 3} = \frac{9}{327}$$ - d. $$\frac{23}{56} = \frac{23 \times 3}{56 \times 3} = \frac{69}{168}$$ 4. Explanation: Multiplying numerator and denominator by the same number does not change the value of the fraction, it only changes its appearance. This is useful for finding common denominators or comparing fractions. Final answers: - a. $$\frac{21}{6}$$ - b. $$\frac{63}{111}$$ - c. $$\frac{9}{327}$$ - d. $$\frac{69}{168}$$